Details

analyze868.0ms (11.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
18.7%	81.2%	0.1%	7
28.1%	71.8%	0.1%	8
32.8%	67.1%	0.1%	9
38.2%	61.7%	0.1%	10
41%	58.9%	0.1%	11
43.9%	56%	0.1%	12
45.4%	54.5%	0.1%	13
46.1%	53.8%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample5.8s (76.9%)

Results

3.7s	2027×	body	8192	exit
764.0ms	1372×	body	1024	valid
740.0ms	5828×	body	128	valid
210.0ms	691×	body	512	valid
171.0ms	364×	body	1024	invalid
84.0ms	362×	body	256	valid
46.0ms	162×	body	512	invalid
20.0ms	96×	body	256	invalid
12.0ms	88×	body	128	invalid
3.0ms	3×	body	2048	valid

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 im)
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

series12.0ms (0.2%)

Counts

2 → 12

Calls

2 calls:

11.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms	(cos.f64 im)

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`
4×	`pow1_binary64`

Counts

2 → 29

Calls

2 calls:

4.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	(cos.f64 im)

simplify113.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

379×	`fma-neg_binary64`
372×	`distribute-rgt-neg-in_binary64`
371×	`cancel-sign-sub-inv_binary64`
334×	`sub-neg_binary64`
289×	`*-commutative_binary64`

Counts

41 → 60

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	522
1	198	475
2	556	445
3	1489	430
4	2711	430
5	4561	430
6	4969	430
7	4997	430
8	4877	430

prune39.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	2	61

Error

Counts

61 → 2

Alt Table

Status	Error	Program
▶	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
	0.2b	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))

Compiler

Compiled 711 to 295 computations (58.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
	0.0b	(cos.f64 im)
✓	0.0b	(*.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im))

series22.0ms (0.3%)

Counts

2 → 32

Calls

2 calls:

13.0ms	(*.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im))
8.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-l_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
9×	`pow1_binary64`

Counts

2 → 47

Calls

2 calls:

8.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
5.0ms	(*.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im))

simplify150.0ms (2%)

Algorithm

1×	egg-herbie

Rules

844×	`fma-neg_binary64`
551×	`cancel-sign-sub-inv_binary64`
341×	`fma-def_binary64`
293×	`*-commutative_binary64`
276×	`distribute-rgt-neg-in_binary64`

Counts

79 → 95

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	110	1134
1	284	1051
2	872	1005
3	1725	971
4	3083	971
5	4326	971
6	4857	971
7	4979	969
8	5000	961
9	4912	961

prune60.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	112	2	114

Error

Counts

114 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
▶	0.2b	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))

Compiler

Compiled 1806 to 561 computations (68.9% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 im)
	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	0.0b	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
✓	0.2b	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))

series25.0ms (0.3%)

Counts

2 → 32

Calls

2 calls:

16.0ms	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
9.0ms	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-log-exp_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`log-prod_binary64`
3×	`add-cube-cbrt_binary64`

Counts

2 → 28

Calls

2 calls:

1.0ms	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
1.0ms	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

883×	`fma-neg_binary64`
370×	`*-commutative_binary64`
261×	`distribute-rgt-neg-in_binary64`
261×	`unswap-sqr_binary64`
248×	`associate-+l+_binary64`

Counts

60 → 72

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	1088
1	335	961
2	1132	900
3	2978	888
4	4972	888

prune75.0ms (1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	132	2	134

Error

Counts

134 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
✓	0.2b	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))

Compiler

Compiled 2028 to 832 computations (59% saved)

regimes207.0ms (2.8%)

Accuracy

Total 0.0b remaining (50.8%)

Threshold costs 0.0b (50.8%)

Counts

41 → 1

Compiler

Compiled 2012 to 1477 computations (26.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	10	17
2	10	17

end47.0ms (0.6%)

Compiler: Compiled 45 to 28 computations (37.8% saved)

Details

analyze868.0ms (11.6%)

sample5.8s (76.9%)

simplify6.0ms (0.1%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series12.0ms (0.2%)

rewrite6.0ms (0.1%)

simplify113.0ms (1.5%)

prune39.0ms (0.5%)

localize6.0ms (0.1%)

series22.0ms (0.3%)

rewrite15.0ms (0.2%)

simplify150.0ms (2%)

prune60.0ms (0.8%)

localize7.0ms (0.1%)

series25.0ms (0.3%)

rewrite4.0ms (0.1%)

simplify60.0ms (0.8%)

prune75.0ms (1%)

regimes207.0ms (2.8%)

simplify2.0ms (0%)

end47.0ms (0.6%)

Profiling